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Finding the Third Proportional to 234,206.44 and 353,860.88

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Solution

The third proportional to 234,206.44 and 353,860.88 is: 534,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,206.44 : 353,860.88 = 353,860.88 : x
  2. Step 2: Convert to fraction form
    234,206.44/353,860.88 = 353,860.88/x
  3. Step 3: Cross multiply
    234,206.44x = 353,860.88 × 353,860.88
  4. Step 4: Simplify right side
    234,206.44x = 125,217,518,855.77
  5. Step 5: Solve for x
    x = 125,217,518,855.77/234,206.44
  6. Step 6: Final answer
    x = 534,645.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.